An alternating voltage is represented by the equation V=220 sin(400 πt × 57,3)v. Calculate
a) The range value of this voltage
b) The rms value of this voltage
c) The form factor
a) The range value of the voltage is the difference between the maximum and minimum values. In this case, the maximum value of the voltage is 220 V and the minimum value is -220 V. Therefore, the range value is:
Range = Maximum value - Minimum value
= 220 V - (-220 V)
= 440 V
b) The rms (root mean square) value of the voltage is given by the formula:
Vrms = (Amplitude)/√2
In this case, the amplitude is 220 V. Therefore, the rms value is:
Vrms = 220 V / √2
≈ 155.6 V
c) The form factor is the ratio of the rms value to the average value. The average value of a sine wave is 0, so the form factor is:
Form factor = Vrms / 0
= Undefined or infinite
Since the average value of a sine wave is 0, the form factor is undefined or infinite.